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Finding the Fourth Proportional to 289.08, 430.95 and 266.04

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Solution

The fourth proportional to 289.08, 430.95 and 266.04 is: 396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.08 : 430.95 = 266.04 : x
  2. Step 2: Convert to fraction form
    289.08/430.95 = 266.04/x
  3. Step 3: Cross multiply
    289.08x = 430.95 × 266.04
  4. Step 4: Simplify right side
    289.08x = 114,649.94
  5. Step 5: Solve for x
    x = 114,649.94/289.08
  6. Step 6: Final answer
    x = 396.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.